Lecture

Group Homomorphisms: Kernels, Images, and Normal Subgroups

Description

This lecture covers group homomorphisms, focusing on the concepts of kernels and images, as well as normal subgroups. The dihedral group D_n is introduced as an example, along with discussions on the elliptic curve group and the Lenstra factorization algorithm. The presentation progresses through examples of subgroups in D_n, exploring the structure of cosets with respect to normal subgroups and the formation of quotient groups.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_c94trcky

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Ontological neighbourhood

Mathematics

Algebra: Representation theory, Abstract algebra

Mathematical logic: Set theory

Geometry: Euclidean geometry

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